# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2009 | Oct-Nov | (P1-9709/12) | Q#2

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**Question**

**
i. **Find, in terms of the non-zero constant , the first four terms in the expansion of in ascending powers of .

** ii. **Given that the coefficients of and in this expansion are equal, find the value of .

**Solution**

i.

Expression for the Binomial expansion of is:

In the given case:

Hence;

ii.

Since the coefficients of and in this expansion are equal

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